Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files
xet
Community
A
stringlengths
4
41
B
stringlengths
4
41
E
int64
0
1
H1
int64
0
1
H2
int64
0
1
H3
int64
0
1
label
stringclasses
2 values
(m&z)
(((h&h)|(~(((m>z)>v))|h))|v)
1
0
0
0
entailment
(m&(m&((g&(m>g))&(m>m))))
(((h&h)|(~(((m>z)>v))|h))|v)
0
0
0
0
not entailment
(m&z)
(~(~((g|h)))|h)
0
0
0
0
not entailment
~((~(m)&(h>(h>g))))
((g&((z|g)>((z&m)&g)))|(m|(m|h)))
1
0
0
0
entailment
((v|~(((g>v)>(~(g)>g))))&(~(m)&(v>m)))
(m>(((v|m)>v)>((v&h)|(g&v))))
1
1
0
0
entailment
~((~(m)&(h>(h>g))))
(m>(((v|m)>v)>((v&h)|(g&v))))
0
0
0
0
not entailment
((v|~(((g>v)>(~(g)>g))))&(~(m)&(v>m)))
((g&((z|g)>((z&m)&g)))|(m|(m|h)))
0
1
0
0
not entailment
(((v&g)&(m>z))&~((m>h)))
~(((m|(z|g))&((z>h)|(h&m))))
1
0
1
0
entailment
(((v&g)&(m>z))&~((m>h)))
(h&m)
0
1
1
0
not entailment
(m&h)
~(((m|(z|g))&((z>h)|(h&m))))
0
0
0
0
not entailment
((v&h)&~((g|g)))
(v|~(h))
1
1
1
0
entailment
((((m&g)&(v|m))&(g|h))&z)
(v>g)
1
1
1
0
entailment
((v&h)&~((g|g)))
(v>g)
0
1
1
0
not entailment
((((m&g)&(v|m))&(g|h))&z)
(v|~(h))
0
1
1
0
not entailment
(~(~(z))&(~(~((z&z)))|(m|(m>v))))
(z|h)
1
1
0
0
entailment
((~(z)&v)&((z|z)>(v|(g>~(m)))))
(m>((v&m)&v))
1
1
1
0
entailment
(~(~(z))&(~(~((z&z)))|(m|(m>v))))
(m>((v&m)&v))
0
1
1
1
not entailment
((~(z)&v)&((z|z)>(v|(g>~(m)))))
(z|h)
0
1
0
0
not entailment
(m&h)
((h|(v|z))|g)
1
0
0
0
entailment
~((h|(~(v)&(h&h))))
(h>(g&g))
1
1
0
0
entailment
(m&h)
(h>(g&g))
0
0
0
0
not entailment
~((h|(~(v)&(h&h))))
((h|(v|z))|g)
0
1
0
0
not entailment
(h&~((h&(m|(z|((v>v)&m))))))
((~((v>m))&z)>(((h>g)>((v>g)>m))&(h|g)))
1
0
0
0
entailment
~((h|g))
~(g)
1
1
1
1
entailment
(h&~((h&(m|(z|((v>v)&m))))))
~(g)
0
1
0
0
not entailment
~((h|g))
((~((v>m))&z)>(((h>g)>((v>g)>m))&(h|g)))
0
0
0
0
not entailment
~(~((z>~((v&(((h&m)&v)|(~(v)|z)))))))
((h>v)>~(((z&v)&~(m))))
1
1
1
0
entailment
(((g&g)&v)&(g>(z>v)))
((v>(h&h))|(~(h)>((m>z)|((g|h)&v))))
1
0
0
0
entailment
~(~((z>~((v&(((h&m)&v)|(~(v)|z)))))))
((v>(h&h))|(~(h)>((m>z)|((g|h)&v))))
0
1
0
0
not entailment
(((g&g)&v)&(g>(z>v)))
((h>v)>~(((z&v)&~(m))))
0
0
0
0
not entailment
((h&~(g))&(((h&m)&h)>g))
~(m)
1
1
1
1
entailment
~(((((g|v)|h)&v)>~(((h|~(h))>g))))
~(~((z|v)))
1
1
0
0
entailment
((h&~(g))&(((h&m)&h)>g))
~(~((z|v)))
0
1
0
0
not entailment
~(((((g|v)|h)&v)>~(((h|~(h))>g))))
~(m)
0
1
0
0
not entailment
(((v|h)&m)&z)
(g>z)
1
1
0
0
entailment
~((h&h))
(h>(m>(m>((z&z)&v))))
1
0
0
0
entailment
(((v|h)&m)&z)
(h>(m>(m>((z&z)&v))))
0
0
1
0
not entailment
~((h&h))
(g>z)
0
1
0
0
not entailment
(z&(g>~((g&h))))
(z|m)
1
1
0
0
entailment
~(((((((h&v)&~(z))&v)|(z>z))>(h&h))|z))
(h>(~(v)&~((z|m))))
1
1
0
0
entailment
(z&(g>~((g&h))))
(h>(~(v)&~((z|m))))
0
0
0
0
not entailment
~(((((((h&v)&~(z))&v)|(z>z))>(h&h))|z))
(z|m)
0
1
0
0
not entailment
((((v>(v|z))>(m&(z>m)))&~((z>g)))&~(g))
((v>m)>z)
1
1
1
0
entailment
(g&g)
(m>(((z>z)&v)|(h|g)))
1
0
0
0
entailment
((((v>(v|z))>(m&(z>m)))&~((z>g)))&~(g))
(m>(((z>z)&v)|(h|g)))
0
1
0
0
not entailment
(g&g)
((v>m)>z)
0
0
0
0
not entailment
(i>~(~(~(((l|(n|((y>d)&l)))|x)))))
(~(d)>((i&n)>(y&d)))
1
1
1
0
entailment
~(((u|~(~(((b|m)>y))))|d))
~(~(~(~((d>b)))))
1
1
1
1
entailment
(i>~(~(~(((l|(n|((y>d)&l)))|x)))))
~(~(~(~((d>b)))))
0
1
0
0
not entailment
~(((u|~(~(((b|m)>y))))|d))
(~(d)>((i&n)>(y&d)))
0
1
0
0
not entailment
(~((n>u))&~((((x&~(b))>y)|b)))
~(((h>h)>u))
1
1
0
0
entailment
(l&y)
((l&~((y|(~((i>h))&(u>x)))))>(n&b))
1
0
0
0
entailment
(~((n>u))&~((((x&~(b))>y)|b)))
((l&~((y|(~((i>h))&(u>x)))))>(n&b))
0
0
0
0
not entailment
(l&y)
~(((h>h)>u))
0
0
0
0
not entailment
(y&i)
(b|(((x>n)|l)|(i|(~(((~(n)>y)&n))>i))))
1
0
0
0
entailment
(((n&y)|d)&~((i|n)))
((x&~(~((n|b))))|(x|(i>~((y|y)))))
1
0
0
0
entailment
(y&i)
((x&~(~((n|b))))|(x|(i>~((y|y)))))
0
0
0
0
not entailment
(((n&y)|d)&~((i|n)))
(b|(((x>n)|l)|(i|(~(((~(n)>y)&n))>i))))
0
0
0
0
not entailment
((~((x|(b&l)))>m)&(i&~(u)))
(((d>b)&u)>l)
1
1
0
0
entailment
~(~(x))
((m&n)>(((x|l)>x)|((i|m)>(u&n))))
1
0
0
0
entailment
((~((x|(b&l)))>m)&(i&~(u)))
((m&n)>(((x|l)>x)|((i|m)>(u&n))))
0
0
0
0
not entailment
~(~(x))
(((d>b)&u)>l)
0
0
0
0
not entailment
~((l>(x|y)))
~((x&~(i)))
1
1
0
0
entailment
(((x&l)&l)&u)
(n>(b|((n>h)>u)))
1
0
0
0
entailment
~((l>(x|y)))
(n>(b|((n>h)>u)))
0
0
0
0
not entailment
(((x&l)&l)&u)
~((x&~(i)))
0
1
0
0
not entailment
((l&(((m>~((i>~(m))))>x)&~(h)))&(h|b))
(((m>h)>((y|b)&x))>l)
1
1
0
0
entailment
~((n>y))
(u|(y>~(d)))
1
0
0
0
entailment
((l&(((m>~((i>~(m))))>x)&~(h)))&(h|b))
(u|(y>~(d)))
0
1
0
0
not entailment
~((n>y))
(((m>h)>((y|b)&x))>l)
0
0
0
0
not entailment
~((h>(~(((d|u)&x))>((i|(b&l))&x))))
((i&(h|i))>~(~((m>h))))
1
1
0
0
entailment
~((~(~((x&u)))|((n>(y>d))|(d&y))))
(x|(n|i))
1
1
0
0
entailment
~((h>(~(((d|u)&x))>((i|(b&l))&x))))
(x|(n|i))
0
1
0
0
not entailment
~((~(~((x&u)))|((n>(y>d))|(d&y))))
((i&(h|i))>~(~((m>h))))
0
1
0
0
not entailment
(((y&u)>d)&(i&(h&(b>y))))
(~(l)>(((n>h)>(u&x))|(i|u)))
1
0
0
0
entailment
(n>~((((~(y)>(m>m))|~(y))|(h>u))))
(~((n>d))>(((y|x)&m)|~(n)))
1
1
0
0
entailment
(((y&u)>d)&(i&(h&(b>y))))
(~((n>d))>(((y|x)&m)|~(n)))
0
0
0
0
not entailment
(n>~((((~(y)>(m>m))|~(y))|(h>u))))
(~(l)>(((n>h)>(u&x))|(i|u)))
0
1
0
0
not entailment
~(~((n&(x&(~(l)&i)))))
~(~(((d|i)&x)))
1
1
0
0
entailment
~((l|(m|b)))
(~(~(((h|d)|~(((x|m)|(l|l))))))>(m>u))
1
0
0
0
entailment
~(~((n&(x&(~(l)&i)))))
(~(~(((h|d)|~(((x|m)|(l|l))))))>(m>u))
0
0
0
0
not entailment
~((l|(m|b)))
~(~(((d|i)&x)))
0
0
0
0
not entailment
(u&(h|h))
(((l|b)|n)>~(~(((x>h)|(l>d)))))
1
0
0
0
entailment
~((u|(b>y)))
(~(((n|x)&(h|(~(~(h))&d))))|(i|b))
1
0
0
0
entailment
(u&(h|h))
(~(((n|x)&(h|(~(~(h))&d))))|(i|b))
0
0
0
0
not entailment
~((u|(b>y)))
(((l|b)|n)>~(~(((x>h)|(l>d)))))
0
0
0
0
not entailment
~((((x>m)>~((m>y)))>~((~(d)&h))))
((m>(h|y))|(~(h)>y))
1
1
1
0
entailment
(~(((u>(i|b))|n))|~(i))
(i>n)
1
1
1
0
entailment
~((((x>m)>~((m>y)))>~((~(d)&h))))
(i>n)
0
1
0
0
not entailment
(~(((u>(i|b))|n))|~(i))
((m>(h|y))|(~(h)>y))
0
1
0
0
not entailment
~((b|~(~((~(y)|(i>u))))))
(~(((d>b)&~(~((u>m)))))|(u>b))
1
0
0
0
entailment
~(~((~((h|d))&~(i))))
(m|(((x>x)&h)>l))
1
1
0
0
entailment
~((b|~(~((~(y)|(i>u))))))
(m|(((x>x)&h)>l))
0
1
0
0
not entailment
~(~((~((h|d))&~(i))))
(~(((d>b)&~(~((u>m)))))|(u>b))
0
0
0
0
not entailment
~((((l>u)|m)|(~((h>l))|n)))
((~(d)&n)>(m>~(((y>l)|l))))
1
1
0
0
entailment
~(((b|b)>~((((u|m)|~((m|b)))&(y>b)))))
((l>(n>i))>(b|x))
1
1
0
0
entailment
~((((l>u)|m)|(~((h>l))|n)))
((l>(n>i))>(b|x))
0
1
0
0
not entailment
~(((b|b)>~((((u|m)|~((m|b)))&(y>b)))))
((~(d)&n)>(m>~(((y>l)|l))))
0
1
0
0
not entailment
(((d&d)|l)&((((h|i)>(i>(y|i)))|i)&n))
(~((u|(d&n)))|(i>n))
1
1
0
0
entailment
((u&~(~(~(y))))&(m&u))
(((~((b|u))&~(b))|((l|b)|d))>(u|h))
1
0
0
0
entailment